Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C223 ⋊ #470 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7136 |
Polycyclic presentation:
2^6,223|a^2=f,b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^222,c^b=cf2236 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252780, #43252782, #43252786, … |
| maximal normal subgroup of | #43252780, #43252782, #43252786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 807);